464743440 has 240 divisors, whose sum is σ = 1862559360. Its totient is φ = 106202880.

The previous prime is 464743427. The next prime is 464743457. The reversal of 464743440 is 44347464.

464743440 is a `hidden beast` number, since 4 + 647 + 4 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 464743395 and 464743404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103645 + ... + 108035.

It is an arithmetic number, because the mean of its divisors is an integer number (7760664).

Almost surely, 2^464743440 is an apocalyptic number.

464743440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464743440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931279680).

464743440 is an abundant number, since it is smaller than the sum of its proper divisors (1397815920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464743440 is a wasteful number, since it uses less digits than its factorization.

464743440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 464743440 is about 21557.9089895101. The cubic root of 464743440 is about 774.5885794098.

The spelling of 464743440 in words is "four hundred sixty-four million, seven hundred forty-three thousand, four hundred forty".